CM1-Actuarial Mathematics – All English

₹32,000.00

CM1: Actuarial Mathematics – Regular Course.
Faculty: Praveen Patwari & Shivangee Agarwal along with other faculties 
Course Duration: 250+ hours

Category:

CM1 – Actuarial Mathematics

Build Strong Foundations in Financial Mathematics and Life Contingencies

CM1 – Actuarial Mathematics is one of the Core Principles subjects in the actuarial qualification pathway offered by the Institute and Faculty of Actuaries (IFoA), UK, and the Institute of Actuaries of India (IAI).

The subject introduces mathematical techniques used to value financial cash flows, insurance contracts, annuities, loans, bonds and other financial products. It combines financial mathematics, survival models, life contingencies, pricing and reserving techniques, forming an essential foundation for actuarial studies.

CM1 develops the analytical, mathematical and modelling skills required to understand financial obligations, assess insurance liabilities and evaluate long-term financial risks.

Course Structure & Syllabus

CM1 combines theoretical financial mathematics with practical actuarial modelling using Microsoft Excel.

Key Topics Covered:

  1. Theory of Interest Rates: Time value of money, compound interest, discounting, interest rate conversions, present value calculations and term structure of interest rates.
  2. Annuities, Loans & Financial Instruments: Annuity calculations, loan repayment schedules, sinking funds, bond valuation, yield calculations and cash flow analysis.
  3. Equation of Value & Investment Appraisal: Equations of value, project appraisal, duration, convexity, immunisation and asset-liability matching.
  4. Survival Models & Life Tables: Mortality rates, survival probabilities, life expectancy, life tables and modelling future lifetimes.
  5. Life Contingencies & Insurance Contracts: Life assurance, life annuities, joint-life and multiple-life models, benefit valuation and premium calculations.
  6. Pricing & Reserving: Net and gross premiums, prospective and retrospective reserves, policy values and valuation of insurance liabilities.
  7. Profit Testing & Actuarial Modelling: Profit testing, analysis of surplus, decrement models and practical actuarial applications using Excel.

The CM1 syllabus focuses on mathematical modelling, financial valuation, actuarial calculations and practical problem-solving, developing essential skills in insurance and financial risk management.

Syllabus Topics & Weightages

The CM1 syllabus comprises four principal areas, with the following indicative weightages under the IFoA curriculum:

Topic Weightage
Theory of Interest Rates 25%
Equation of Value and Its Applications 20%
Decrement and Multiple-Life Models 20%
Pricing and Reserving 35%
Total 100%

These weightages indicate the approximate syllabus coverage. Actual question distribution may vary between examination sittings.

Examination Structure

CM1 consists of two compulsory components: CM1A (Theory) and CM1B (Practical).

Both papers must be attempted during the same examination sitting.

Particulars IAI (India) IFoA (UK)
Paper A – Theory Objective + Descriptive Descriptive
Paper A Duration 3 Hours 15 Minutes 3 Hours 20 Minutes
Paper A Weightage 70% 70%
Paper B – Practical Excel-Based Excel-Based
Paper B Duration 1 Hour 45 Minutes 1 Hour 50 Minutes
Paper B Weightage 30% 30%
Examination Mode Centre-Based Online In-Person at Exam Centres or Remotely Invigilated Online

Important Examination Guidelines

  • Paper A: Tests theoretical concepts, numerical calculations and actuarial problem-solving. IAI includes both objective and descriptive questions, whereas IFoA follows a descriptive examination format.
  • Paper B: Assesses practical actuarial modelling and calculations using Microsoft Excel.
  • Combined Assessment: Paper A contributes 70% and Paper B contributes 30% towards the final examination score.
  • IFoA Examination Mode: Students can indicate their preference to appear either at an authorised examination centre or remotely through online invigilation. Final allocation is subject to availability and IFoA guidelines.
  • IAI Examination Mode: Examinations are conducted online at designated examination centres, in accordance with IAI’s current examination arrangements.
  • Examination Requirements: Students must follow their respective institute’s guidelines regarding permitted calculators, actuarial tables, software and examination conduct.

Passing Criteria

The passing requirements differ between IAI and IFoA.

Institute Passing Requirements
IAI (India) Minimum 30% in each paper and 50% aggregate
IFoA (UK) Combined weighted marks must meet the pass mark determined for the examination sitting

Important Information:

  • Both Paper A and Paper B must be attempted in the same examination session.
  • IAI requires candidates to satisfy both the minimum individual paper marks and the overall aggregate requirement.
  • IFoA determines the passing mark for each examination sitting and does not require a separate minimum passing mark in each paper.
  • If a candidate does not clear CM1, both components must be attempted again in the next chosen examination sitting.

Eligibility Criteria

CM1 is a Core Principles examination suitable for students beginning their actuarial qualification journey.

  • Students can pursue CM1 through the IAI or IFoA examination pathway, subject to the respective institute’s eligibility requirements.
  • A strong foundation in mathematics and basic financial concepts is recommended.
  • No prior actuarial examination pass is required before attempting CM1 under the IFoA pathway.
  • Students must fulfil the applicable membership, registration and examination entry requirements of their selected actuarial institute.

Learning Objectives

Studying CM1 develops the ability to:

  • Apply financial mathematics to value future cash flows.
  • Calculate annuities, loan repayments and bond values.
  • Understand mortality, survival models and life contingencies.
  • Determine premiums and reserves for life insurance contracts.
  • Analyse financial and insurance liabilities.
  • Apply actuarial techniques using Microsoft Excel.
  • Develop mathematical modelling and financial risk assessment skills.

Practical Applications of CM1

The knowledge gained in CM1 is applicable across several actuarial and financial disciplines:

  1. Life Insurance: Premium calculation, policy valuation, profitability analysis and reserving.
  2. Pensions: Valuation of retirement benefits, annuities and long-term pension obligations.
  3. Banking & Finance: Loan amortisation, interest rate calculations and bond valuation.
  4. Investment Management: Fixed-income valuation, cash flow analysis and asset-liability management.
  5. Risk Management: Modelling financial cash flows, insurance obligations and long-term financial liabilities.

CM1 establishes essential mathematical and actuarial knowledge that supports advanced actuarial subjects and professional applications in insurance, pensions, investments and financial services.

Technical Requirements – AEI Learning Application

To access online classes, recorded lectures and digital study resources, students must ensure their devices meet the following minimum technical requirements of the Actuators Educational Institute (AEI) Learning Application.

Device / Platform Minimum Requirement
Android Android 9.0 or above
Windows PC / Laptop Windows 10 or above
iPhone / iPad (iOS) iOS 12.0 or above
MacBook / iMac (macOS) Apple M1 chip or above with macOS 14 or later

 

WHAT YOU WILL GET

Course Deliverables

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Recorded Lectures (A+B)
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Softcopy of AEI Own Study Materials
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Access to Student Dashboard
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Technical Support
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Chapter Wise MCQ Bank
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Regular Mentoring Sessions & Industry Expert Sessions
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Live Concept Classes ( A + B )
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Mock Test with Detailed Evaluation (6 Sets)
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Hard Copy of AEI Own Compiler
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Course Extension (2 More Terms)
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Interactive Q & A Forum

Anjali PatwaAIR 1
Arvita ShuklaAIR 1
Kunal TibrewalAIR 1
Kush GuptaAIR 1
Meghna AgarwalAIR 1
Mokshit Kothari AIR 1
Pravesh ThakurAIR 1
Vrinda AgarwalAIR 1
Girdhari Lal95
Aditi Bhavsar93
Kanishk Agarwal93
Sparsh Modi93
Vandita Sarda93

FACULTY

Meet The Instructor


Praveen Patwari is a Chartered Accountant (CA), Financial Risk Manager (FRM) and Associate of the Institute of Actuaries of India (AIAI), with additional professional credentials including CIRA, CCRA, CIDT, CIIB and NISM Series VIII (Equity Derivatives). With over 15 years of experience in finance, actuarial education, mentoring and professional training, he has built a strong reputation for simplifying complex concepts and guiding students across multiple professional pathways.

As the Founder and Lead Mentor at Actuators Educational Institute (AEI), Praveen has taught and mentored 50,000+ students across Actuarial Science, FRM, CFA, finance and related professional programmes. He has mentored numerous rankers and top-performing students and is a regular speaker at leading institutions including SRCC, Miranda House, Hansraj College, Lady Shri Ram College, St. Xavier’s College, NMIMS, Ramjas College, NM College and HR College of Commerce.

Shivangee Agarwal is a globally qualified actuary holding the prestigious credentials of FIA (UK), FIAI (India) and FSA (USA), along with the C.Act designation, giving her professional recognition across three of the world’s leading actuarial bodies. She is also IFRI Certified, holds a Master’s in Data and Business Analytics from IIM Indore, and completed her B.Com (Hons. in Finance) from St. Xavier’s College, Kolkata. She secured All India Rank 1 in CT7 – Business Economics, reflecting her strong academic foundation in actuarial science, finance and analytics.

With over 10 years of teaching experience, she has taught and mentored 5,000+ students across Actuarial Science, Data Analytics and Finance. At Actuators Educational Institute, she teaches the Paper B components of CM subjects, along with CS2, CB2, CP2, CP3 and FRM, and also conducts training in Excel, VBA, SQL and R Programming. She has delivered workshops and academic sessions at institutions including SRCC, Lady Shri Ram College, St. Xavier’s College, Mithibai College, IIM Indore and IBS Hyderabad, combining deep technical expertise with a practical, structured and exam-focused teaching approach.

PLAYLIST

Demo Class Videos


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